2142356480 has 88 divisors (see below), whose sum is σ = 5606487360. Its totient is φ = 779018240.

The previous prime is 2142356471. The next prime is 2142356483. The reversal of 2142356480 is 846532412.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 2142356480.

It is not an unprimeable number, because it can be changed into a prime (2142356483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37301 + ... + 75339.

Almost surely, 2^2142356480 is an apocalyptic number.

2142356480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803243680).

2142356480 is an abundant number, since it is smaller than the sum of its proper divisors (3464130880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142356480 is a wasteful number, since it uses less digits than its factorization.

2142356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38075 (or 38057 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2142356480 is about 46285.5968957947. The cubic root of 2142356480 is about 1289.1315750352.

Adding to 2142356480 its reverse (846532412), we get a palindrome (2988888892).

The spelling of 2142356480 in words is "two billion, one hundred forty-two million, three hundred fifty-six thousand, four hundred eighty".